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Chapter 20: Q39P (page 857)

A current carrying wire is oriented along the y axis. It passes through a region 0.6m in which there is a magnetic field of 4.5T in the+z direction. The wire experiences a force of 14.9N in the -x direction.

(a.) What is the magnitude of the conventional current in the wire?

Short Answer

Expert verified

The magnitude of the convection current that flows through the wire isI=5·5A

Step by step solution

01

Determine the current carrying wires magnetic force.

Magnetic force of a current carrying wire can be expressed as,

ΔF→=IΔl→×B→

Where,

I is the magnitude of the conventional current.

Δl→ is the length of the current carrying vector.

B→ magnetic field vector.

02

Determine the magnitude of the conventional current that flows through the wire.

So now we substitute the known value is the equation ΔF→=IΔl→×B→. So, we get,

ΔF→=IΔl→×B→14.9N-x→=I0.6my→×4.5Tz→=I2.7Tmy→×z→=I2.7Tmx→

Now we isolate I from the above equation. So we get,

I=14.9N-x→2.7Tmx→=-5.5A

So the magnitude of the convection current that flows through the wire is I=5.5A

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